72839532544 has 39 divisors (see below), whose sum is σ = 145695831637. Its totient is φ = 36411129856.

The previous prime is 72839532503. The next prime is 72839532569. The reversal of 72839532544 is 44523593827.

It is a happy number.

The square root of 72839532544 is 269888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64719360000 + 8120172544 = 254400^2 + 90112^2 .

It is a super-2 number, since 2×72839532544² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72839532491 and 72839532500.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 17270724 + ... + 17274940.

Almost surely, 2^72839532544 is an apocalyptic number.

72839532544 is the 269888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72839532544

72839532544 is an abundant number, since it is smaller than the sum of its proper divisors (72856299093).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72839532544 is an frugal number, since it uses more digits than its factorization.

72839532544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8458 (or 4219 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 52.

The spelling of 72839532544 in words is "seventy-two billion, eight hundred thirty-nine million, five hundred thirty-two thousand, five hundred forty-four".